Repository of Reproducible Computations

Free Statistics

of Irreproducible Research!

Author's title

Author

*Unverified author*

R Software Module

rwasp_smp.wasp

Title produced by software

Standard Deviation-Mean Plot

Date of computation

Wed, 16 Aug 2017 14:13:15 +0200

Cite this page as follows

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?v=date/2017/Aug/16/t1502885663usncvsrennj8pmd.htm/, Retrieved Sat, 11 May 2024 07:08:39 +0000

Statistical Computations at FreeStatistics.org, Office for Research Development and Education, URL https://freestatistics.org/blog/index.php?pk=307373, Retrieved Sat, 11 May 2024 07:08:39 +0000

QR Codes:

Paste this QR Code to cite your computation.

Original text written by user:

IsPrivate?

No (this computation is public)

User-defined keywords

Estimated Impact

113

Family? (F = Feedback message, R = changed R code, M = changed R Module, P = changed Parameters, D = changed Data)

-       [Standard Deviation-Mean Plot] [Standard deviatio...] [2017-08-16 12:13:15] [41db9c2917eeaa94887144dd7479aea5] [Current]

Feedback Forum

Post a new message

Dataseries X:

Download CSV

Histogram

Boxplots

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

\begin{tabular}{lllllllll}
\hline
Summary of computational transaction \tabularnewline
Raw Input view raw input (R code)  \tabularnewline
Raw Outputview raw output of R engine  \tabularnewline
Computing time1 seconds \tabularnewline
R ServerBig Analytics Cloud Computing Center \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307373&T=0

[TABLE]
[ROW]

Summary of computational transaction[/C][/ROW] [ROW]

Raw Input[/C]

view raw input (R code) [/C][/ROW] [ROW]

Raw Output[/C]

view raw output of R engine [/C][/ROW] [ROW]

Computing time[/C]

1 seconds[/C][/ROW] [ROW]

R Server[/C]

Big Analytics Cloud Computing Center[/C][/ROW] [/TABLE] Source: https://freestatistics.org/blog/index.php?pk=307373&T=0

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307373&T=0

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Summary of computational transaction
Raw Input	view raw input (R code)
Raw Output	view raw output of R engine
Computing time	1 seconds
R Server	Big Analytics Cloud Computing Center

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4189091.83333333	141961.272270634	423436
2	4262316.5	150630.458404606	487968
3	4373553.16666667	147749.302663688	472277
4	4513243.58333333	151167.185677711	521118
5	4376444.58333333	248936.133304566	894387
6	3983248.75	296798.715878172	1024998
7	3583201.91666667	244080.44020306	878475
8	3036797.83333333	340193.276470312	1235832
9	2647653.66666667	379871.426106335	1268982
10	2110715.75	420412.905052364	1448434

\begin{tabular}{lllllllll}
\hline
Standard Deviation-Mean Plot \tabularnewline
Section & Mean & Standard Deviation & Range \tabularnewline
1 & 4189091.83333333 & 141961.272270634 & 423436 \tabularnewline
2 & 4262316.5 & 150630.458404606 & 487968 \tabularnewline
3 & 4373553.16666667 & 147749.302663688 & 472277 \tabularnewline
4 & 4513243.58333333 & 151167.185677711 & 521118 \tabularnewline
5 & 4376444.58333333 & 248936.133304566 & 894387 \tabularnewline
6 & 3983248.75 & 296798.715878172 & 1024998 \tabularnewline
7 & 3583201.91666667 & 244080.44020306 & 878475 \tabularnewline
8 & 3036797.83333333 & 340193.276470312 & 1235832 \tabularnewline
9 & 2647653.66666667 & 379871.426106335 & 1268982 \tabularnewline
10 & 2110715.75 & 420412.905052364 & 1448434 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307373&T=1

[TABLE]
[ROW][C]Standard Deviation-Mean Plot[/C][/ROW]
[ROW][C]Section[/C][C]Mean[/C][C]Standard Deviation[/C][C]Range[/C][/ROW]
[ROW][C]1[/C][C]4189091.83333333[/C][C]141961.272270634[/C][C]423436[/C][/ROW]
[ROW][C]2[/C][C]4262316.5[/C][C]150630.458404606[/C][C]487968[/C][/ROW]
[ROW][C]3[/C][C]4373553.16666667[/C][C]147749.302663688[/C][C]472277[/C][/ROW]
[ROW][C]4[/C][C]4513243.58333333[/C][C]151167.185677711[/C][C]521118[/C][/ROW]
[ROW][C]5[/C][C]4376444.58333333[/C][C]248936.133304566[/C][C]894387[/C][/ROW]
[ROW][C]6[/C][C]3983248.75[/C][C]296798.715878172[/C][C]1024998[/C][/ROW]
[ROW][C]7[/C][C]3583201.91666667[/C][C]244080.44020306[/C][C]878475[/C][/ROW]
[ROW][C]8[/C][C]3036797.83333333[/C][C]340193.276470312[/C][C]1235832[/C][/ROW]
[ROW][C]9[/C][C]2647653.66666667[/C][C]379871.426106335[/C][C]1268982[/C][/ROW]
[ROW][C]10[/C][C]2110715.75[/C][C]420412.905052364[/C][C]1448434[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307373&T=1

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307373&T=1

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Standard Deviation-Mean Plot
Section	Mean	Standard Deviation	Range
1	4189091.83333333	141961.272270634	423436
2	4262316.5	150630.458404606	487968
3	4373553.16666667	147749.302663688	472277
4	4513243.58333333	151167.185677711	521118
5	4376444.58333333	248936.133304566	894387
6	3983248.75	296798.715878172	1024998
7	3583201.91666667	244080.44020306	878475
8	3036797.83333333	340193.276470312	1235832
9	2647653.66666667	379871.426106335	1268982
10	2110715.75	420412.905052364	1448434

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	671704.724188379
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073616

\begin{tabular}{lllllllll}
\hline
Regression: S.E.(k) = alpha + beta * Mean(k) \tabularnewline
alpha & 671704.724188379 \tabularnewline
beta & -0.113151792219188 \tabularnewline
S.D. & 0.0185894327362386 \tabularnewline
T-STAT & -6.08688784777213 \tabularnewline
p-value & 0.000293686871073616 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307373&T=2

[TABLE]
[ROW][C]Regression: S.E.(k) = alpha + beta * Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]671704.724188379[/C][/ROW]
[ROW][C]beta[/C][C]-0.113151792219188[/C][/ROW]
[ROW][C]S.D.[/C][C]0.0185894327362386[/C][/ROW]
[ROW][C]T-STAT[/C][C]-6.08688784777213[/C][/ROW]
[ROW][C]p-value[/C][C]0.000293686871073616[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307373&T=2

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307373&T=2

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: S.E.(k) = alpha + beta * Mean(k)
alpha	671704.724188379
beta	-0.113151792219188
S.D.	0.0185894327362386
T-STAT	-6.08688784777213
p-value	0.000293686871073616

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	33.2830384307466
beta	-1.38589065989076
S.D.	0.316605261909545
T-STAT	-4.37734563074543
p-value	0.00235715681397507
Lambda	2.38589065989076

\begin{tabular}{lllllllll}
\hline
Regression: ln S.E.(k) = alpha + beta * ln Mean(k) \tabularnewline
alpha & 33.2830384307466 \tabularnewline
beta & -1.38589065989076 \tabularnewline
S.D. & 0.316605261909545 \tabularnewline
T-STAT & -4.37734563074543 \tabularnewline
p-value & 0.00235715681397507 \tabularnewline
Lambda & 2.38589065989076 \tabularnewline
\hline
\end{tabular}
%Source: https://freestatistics.org/blog/index.php?pk=307373&T=3

[TABLE]
[ROW][C]Regression: ln S.E.(k) = alpha + beta * ln Mean(k)[/C][/ROW]
[ROW][C]alpha[/C][C]33.2830384307466[/C][/ROW]
[ROW][C]beta[/C][C]-1.38589065989076[/C][/ROW]
[ROW][C]S.D.[/C][C]0.316605261909545[/C][/ROW]
[ROW][C]T-STAT[/C][C]-4.37734563074543[/C][/ROW]
[ROW][C]p-value[/C][C]0.00235715681397507[/C][/ROW]
[ROW][C]Lambda[/C][C]2.38589065989076[/C][/ROW]
[/TABLE]
Source: https://freestatistics.org/blog/index.php?pk=307373&T=3

Globally Unique Identifier (entire table): ba.freestatistics.org/blog/index.php?pk=307373&T=3

As an alternative you can also use a QR Code:

The GUIDs for individual cells are displayed in the table below:

Regression: ln S.E.(k) = alpha + beta * ln Mean(k)
alpha	33.2830384307466
beta	-1.38589065989076
S.D.	0.316605261909545
T-STAT	-4.37734563074543
p-value	0.00235715681397507
Lambda	2.38589065989076

Figure 1

PNG link

Postscript link

PDF link

Figure 2

PNG link

Postscript link

PDF link

Parameters (Session):

par1 = 12 ;

Parameters (R input):

par1 = 12 ;

R code (references can be found in the software module):

par1 <- as.numeric(par1)
(n <- length(x))
(np <- floor(n / par1))
arr <- array(NA,dim=c(par1,np))
j <- 0
k <- 1
for (i in 1:(np*par1))
{
j = j + 1
arr[j,k] <- x[i]
if (j == par1) {
j = 0
k=k+1
}
}
arr
arr.mean <- array(NA,dim=np)
arr.sd <- array(NA,dim=np)
arr.range <- array(NA,dim=np)
for (j in 1:np)
{
arr.mean[j] <- mean(arr[,j],na.rm=TRUE)
arr.sd[j] <- sd(arr[,j],na.rm=TRUE)
arr.range[j] <- max(arr[,j],na.rm=TRUE) - min(arr[,j],na.rm=TRUE)
}
arr.mean
arr.sd
arr.range
(lm1 <- lm(arr.sd~arr.mean))
(lnlm1 <- lm(log(arr.sd)~log(arr.mean)))
(lm2 <- lm(arr.range~arr.mean))
bitmap(file='test1.png')
plot(arr.mean,arr.sd,main='Standard Deviation-Mean Plot',xlab='mean',ylab='standard deviation')
dev.off()
bitmap(file='test2.png')
plot(arr.mean,arr.range,main='Range-Mean Plot',xlab='mean',ylab='range')
dev.off()
load(file='createtable')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Standard Deviation-Mean Plot',4,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Section',header=TRUE)
a<-table.element(a,'Mean',header=TRUE)
a<-table.element(a,'Standard Deviation',header=TRUE)
a<-table.element(a,'Range',header=TRUE)
a<-table.row.end(a)
for (j in 1:np) {
a<-table.row.start(a)
a<-table.element(a,j,header=TRUE)
a<-table.element(a,arr.mean[j])
a<-table.element(a,arr.sd[j] )
a<-table.element(a,arr.range[j] )
a<-table.row.end(a)
}
a<-table.end(a)
table.save(a,file='mytable.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: S.E.(k) = alpha + beta * Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable1.tab')
a<-table.start()
a<-table.row.start(a)
a<-table.element(a,'Regression: ln S.E.(k) = alpha + beta * ln Mean(k)',2,TRUE)
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'alpha',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[1]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'beta',header=TRUE)
a<-table.element(a,lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'S.D.',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,2])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'T-STAT',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,3])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'p-value',header=TRUE)
a<-table.element(a,summary(lnlm1)$coefficients[2,4])
a<-table.row.end(a)
a<-table.row.start(a)
a<-table.element(a,'Lambda',header=TRUE)
a<-table.element(a,1-lnlm1$coefficients[[2]])
a<-table.row.end(a)
a<-table.end(a)
table.save(a,file='mytable2.tab')

Free Statistics

Description of Statistical Computation

Tree of Dependent Computations

Dataset

Tables (Output of Computation)

Figures (Output of Computation)

Input Parameters & R Code